which is valid in the broken phase, \(T \lesssim 160\,\textrm {GeV}\) .
The coefficient \(111/34\)  in Eq. (REF ) has also be found in Ref. [1]} and follows from the chemical equilibrium in the broken phase in the limit of slow sphaleron processes.
To see this, note that the sphaleron conversion term in Eq. (REF ) must be proportional to the sum of the chemical potentials of the fermion fields that belong to \(SU(2)_L\)  doublets in the symmetric phase,
\(\Sigma = 3 \left[3\,\frac{\mu _u + \mu _d}{2} + 3\,\frac{\mu _c + \mu _s}{2} + 3\,\frac{\mu _t + \mu _b}{2} + \frac{\mu _e + \mu _{\nu _e}}{2} + \frac{\mu _\mu + \mu _{\nu _\mu }}{2} + \frac{\mu _\tau + \mu _{\nu _\tau }}{2}\right] \,.\) 
